Physics:Quantum Thermodynamics - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:31Z

Restore missing Quantum reference definitions

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	== Dynamical view ==		== Dynamical view ==
	There is an intimate connection between quantum thermodynamics and the theory of open quantum systems.<ref name="entropy1" /> In this framework, the entire world is regarded as a large closed system evolving unitarily under a global Hamiltonian. For a system coupled to a bath, the global Hamiltonian is written as		There is an intimate connection between quantum thermodynamics and the theory of open quantum systems.<ref name="entropy1">{{cite journal \| last=Kosloff \| first=Ronnie \| title=Quantum Thermodynamics: A Dynamical Viewpoint \| journal=Entropy \| volume=15 \| issue=12 \| date=2013-05-29 \| issn=1099-4300 \| doi=10.3390/e15062100 \| arxiv=1305.2268 \| bibcode=2013Entrp..15.2100K \| pages=2100–2128\|doi-access=free}}</ref> In this framework, the entire world is regarded as a large closed system evolving unitarily under a global Hamiltonian. For a system coupled to a bath, the global Hamiltonian is written as
	<math display="block">H=H_\text{S}+H_\text{B}+H_\text{SB}</math>		<math display="block">H=H_\text{S}+H_\text{B}+H_\text{SB}</math>
	where <math>H_\text{S}</math> is the system Hamiltonian, <math>H_\text{B}</math> is the bath Hamiltonian, and <math>H_\text{SB}</math> is the interaction Hamiltonian.		where <math>H_\text{S}</math> is the system Hamiltonian, <math>H_\text{B}</math> is the bath Hamiltonian, and <math>H_\text{SB}</math> is the interaction Hamiltonian.
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	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

	== References ==		= References =
	{{reflist\|3}}		{{reflist\|3}}

	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}
	{{Sourceattribution\|Physics:Quantum Thermodynamics\|1}}		{{Sourceattribution\|Physics:Quantum Thermodynamics\|1}}

WikiHarold: Use Quantum See also index module

2026-05-23T22:20:40Z

Use Quantum See also index module

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	== See also ==		== See also ==
	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}
	* [[Physics:Quantum statistical mechanics\|Quantum statistical mechanics]]
	* Thermal quantum field theory

	== References ==		== References ==

Maintenance script: Normalize quantum page header order

2026-05-22T11:33:51Z

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	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
	{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization\|next=Physics:Quantum Band structure\|next label=Band structure}}		{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization\|next=Physics:Quantum Band structure\|next label=Band structure}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

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2026-05-22T11:12:09Z

Clean Book label remnants and backlink spacing

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	{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}		{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
	{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization\|next=Physics:Quantum Band structure\|next label=Band structure}}		{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization\|next=Physics:Quantum Band structure\|next label=Band structure}}

Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:04:22Z

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	{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}~~Book I~~		{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}

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Clean Short description prefix and add Book I label

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	~~~~{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}		{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}Book I

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}

Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T12:36:19Z

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	~~~~{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}		{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
	{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization}}		{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization\|next=Physics:Quantum Band structure\|next label=Band structure}}

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Maintenance script: Apply Quantum previous-next navigation

2026-05-20T12:26:40Z

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			{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization}}

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Maintenance script: Improve Book I intro quality

2026-05-20T09:05:29Z

Improve Book I intro quality

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	<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''~~Quantum thermodynamics~~'''~~<ref>{{Cite book \|last1=Deffner \|first1=Sebastian \|url=https://iopscience.iop.org/book/mono/978-1-64327-658-8 \|title=Quantum Thermodynamics: An introduction to the~~ thermodynamics of quantum information \|last2=Campbell \|first2=Steve \|date=2019 \|publisher=Morgan & Claypool Publishers \|isbn=978-1-64327-658-8 \|location=San Rafael, CA \|doi=10.1088/2053-2571/ab21c6\|bibcode=2019qtit.book.....D }}</ref><ref>{{Cite book \|title=Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions \|date=2018 \|publisher=Springer Publishing \|isbn=978-3-319-99046-0 \|editor-last=Adesso \|editor-first=Gerardo \|edition=1st \|series=Fundamental Theories of Physics \|location=Cham \|editor-last2=Anders \|editor-first2=Janet \|editor-last3=Binder \|editor-first3=Felix \|editor-last4=Correa \|editor-first4=Luis A. \|editor-last5=Gogolin \|editor-first5=Christian}}</ref> is the study of the relations between thermodynamics and ~~[[Physics:Quantum mechanics\|~~quantum mechanics]]. It investigates how thermodynamic concepts such as heat, work, entropy, irreversibility, and equilibrium emerge from quantum dynamics, especially in systems far from equilibrium and in individual quantum systems.		'''Thermodynamics''' quantum thermodynamics is the study of the relations between thermodynamics and quantum mechanics. It investigates how thermodynamic concepts such as heat, work, entropy, irreversibility, and equilibrium emerge from quantum dynamics, especially in systems far from equilibrium and in individual quantum systems. This paper is often regarded as one of the starting points of quantum theory. In the following decades, quantum theory developed into an independent framework with its own mathematical foundations. Currently, quantum thermodynamics addresses the emergence of thermodynamic laws from quantum mechanics. It differs from quantum statistical mechanics in its stronger emphasis on dynamical processes out of equilibrium and on the behavior of individual quantum systems. The first university course titled "Quantum Thermodynamics" was offered at MIT in the spring of 1971 by George Hatsopoulos and Elias Gyftopoulos. There is an intimate connection between quantum thermodynamics and the theory of open quantum systems.

	In 1905, [[Biography:Albert Einstein\|Albert Einstein]] argued that consistency between thermodynamics and electromagnetism<ref>{{cite journal \| last=Einstein \| first=A. \| title=Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt \| journal=Annalen der Physik \| volume=322 \| issue=6 \| year=1905 \| issn=0003-3804 \| doi=10.1002/andp.19053220607 \| bibcode=1905AnP...322..132E \| pages=132–148 \| language=de\|doi-access=free}}</ref> leads to the conclusion that light is quantized, obtaining the relation <math>E=h\nu</math>. This paper is often regarded as one of the starting points of ~~[[Physics:Quantum\|~~quantum]] theory. In the following decades, quantum theory developed into an independent framework with its own mathematical foundations.<ref>{{Cite book \|last1=Neumann \|first1=John von \|url=https://books.google.com/books?id=JLyCo3RO4qUC \|title=Mathematical Foundations of Quantum Mechanics \|last2=Von Neumann \|first2=John \|date=1955 \|publisher=Princeton University Press \|isbn=978-0-691-02893-4 \|series=Princeton landmarks in mathematics and physics \|location=Princeton Chichester \|language=en}}</ref>

	Currently, quantum thermodynamics addresses the emergence of thermodynamic laws from quantum mechanics. It differs from ~~[[Physics:Quantum statistical mechanics\|~~quantum statistical mechanics]] in its stronger emphasis on dynamical processes out of equilibrium and on the behavior of individual quantum systems.<ref name="entropy1">{{cite journal \| last=Kosloff \| first=Ronnie \| title=Quantum Thermodynamics: A Dynamical Viewpoint \| journal=Entropy \| volume=15 \| issue=12 \| date=2013-05-29 \| issn=1099-4300 \| doi=10.3390/e15062100 \| arxiv=1305.2268 \| bibcode=2013Entrp..15.2100K \| pages=2100–2128\|doi-access=free}}</ref> The first university course titled "Quantum Thermodynamics" was offered at MIT in the spring of 1971 by George Hatsopoulos and Elias Gyftopoulos.~~<ref>MIT Bulletin 1970-71~~.~~</ref>~~
	~~<div style="float:right; border:1px solid #e0d890; background:#fff8dc; padding:6px; margin:0 0 1em 1em; width:400px;">~~
	~~</div>~~
	~~{{Thermodynamics}}~~
	~~{{Quantum mechanics}}~~
	</div>		</div>

Maintenance script: Clean Book I red links, intro, and image slots

2026-05-20T08:17:14Z

Clean Book I red links, intro, and image slots

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← Older revision		Revision as of 11:12, 22 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}		{{Short description\|Quantum Collection topic on Quantum Thermodynamics}}

	{{Quantum book backlink\|Statistical mechanics and kinetic theory}}		{{Quantum book backlink\|Statistical mechanics and kinetic theory}}
	{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization\|next=Physics:Quantum Band structure\|next label=Band structure}}		{{Quantum article nav\|previous=Physics:Quantum Relaxation and thermalization\|previous label=Relaxation and thermalization\|next=Physics:Quantum Band structure\|next label=Band structure}}